3-D photonic crystals dispersion relation: Improved convergence using fast Fourier factorization (FFF) method

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4438, Issue , 2001, Pages 183-190

  Enoch, Stefan ^a   Popov, Evgueni ^a   Neviere, Michel ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Diffraction; Gratings; Photonic crystals

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; CRYSTALS; DEMULTIPLEXING; DIFFRACTION GRATINGS; ELECTROMAGNETIC DISPERSION; ENERGY GAP; FAST FOURIER TRANSFORMS; LIGHT POLARIZATION;

FAST FOURIER FACTORIZATION (FFF);

DIFFRACTION;

EID: 0035759325     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.451491     Document Type: Conference Paper

References (13)

1. E. Yablonovich: "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
2. S. John: "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 - 2489 (1987).
3. K. Ho, C. Chan, and C. Soukoulis: "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152 - 3155 (1990).
4. P. Villeneuve, S. Fan, and J. Joannopoulos: "Microcavities in photonic crystals," in Microcavities and Photonic Bandgaps, eds. J. Rarity and C. Weisbuch (Kluwer, The Academic, Netherlands, 1996) 133 - 151.
5. Z. Zhang and S. Satpathy: "Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations," Phys. Rev. Lett. 65, 2650 - 2653 (1990).
6. R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos: "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 - 10964 (1991).
7. T. Krauss, R. De La Rue, and S. Brand: "Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths," Nature (London), 383, 699 - 702 (1996).
8. D. Labilloy, H. Benisty, C. Weisbuch, T. Krauss, R. Houdré, and U. Oesterle: "Use of guided spontaneous emission of a semiconductor to probe the optical properties of two-dimensional photonic crystals," Appl. Phys. Lett. 71, 738 - 740 (1997).
9. H. S; Sözüer, J; W. Haus and R. Inguva, "Photonic bands: Convergence problems with the plane-wave method," Phys. Rev. B, 45, 13962 - 13972 (1992).
10. R.D. Meade, A.M. Rappe, K.D. Brommer, and J.D. Joannopoulos, "Accurate theoretical analysis of photonic band-gap material," Phys. Rev. B, 48, 8434 - 8437 (1993).
11. P. Lalanne and G. Mortis, "Highly improved cinvergence of the coupled-wave method for TM polarization," J. Opt. Soc. Am. A 13, 779-784 (1996).
12. E. Popov and M. Nevière, "Grating theory: new equations in Fourier space leading to fast converging results for TM polarization," J. opt. Soc. Am. A 17, 1773-1784 (2000).
13. P. Lalanne, "Effective properties and band structures of lamellar subwavelength crystals: Plane-wave method revisited", Phys. Rev. B, 58, 9801-9807 (1998).